Question

Mr. Dawson owns multiple fish breeding farms. The number of fish breeding farms is represented by the function f(x) = 5. The approximate number of fish per breeding farm can be represented by the function g(x) = 80(1.04)x, where x represents the number of months. Which function best describes h, the approximate population of the fish across all Mr. Dawson's farms after x months?

Answer 1

For this case what we must do is define h (x), which is given by:
 h (x) = f (x) * g (x)
 Where,
 f (x) = 5 (The number of fish breeding farms)
 g (x) = 80 (1.04) ^ x (The approximate number of fish per breeding farm)
 Substituting we have:
 h (x) = (5) * (80 (1.04) ^ x)
 Rewriting we have:
 h (x) = 400 (1.04) ^ x
 Answer:
 the approximate population of the fish across all Mr. Dawson's farms after x months is:
 h (x) = 400 (1.04) ^ x